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Approximation of \((\alpha)\) holomorphic functions by areolar polynomials of Bernstein-type. (English) Zbl 1060.30048

Summary: Using areolar polynomials of Bernstein type, in this note we give a simple constructive solution to a theorem of approximation of \((\alpha)\) holomorphic functions due to N. Teodorescu [Comun. Acad. Republ. Popul. Romine 11, 375–382 (1961; Zbl 0105.06203)]. Also, quantitative estimates are given.

MSC:

30E10 Approximation in the complex plane
30A05 Monogenic and polygenic functions of one complex variable

Citations:

Zbl 0105.06203
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